Bergische Universität Wuppertal


Bilateral GermanRussian Project

The goal of the proposed research project is the development of the fullydiscrete transparent boundary conditions for the hierarchies of parabolic equations where the input term (i.e. righthand side) of the nth equation is obtained from the solution of n1th equation.
This research study will be a natural combination of the ideas emerging from the recent papers of the Vladivostok research group and the method introduced by the dissertation of Ehrhardt and significantly improved in his followup works. This combination of ideas can be successfully developed from the close collaboration in the framework of the proposed project.
[PeEh15a]  P. Petrov, M. Ehrhardt, 
On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation, accepted: Applied Mathematics Letters, 2015  
[PeEh15b]  P. Petrov, M. Ehrhardt, 
Transparent boundary conditions for the hierarchies of highorder parabolic approximations , Preprint 15/??, 2015. submitted to Wave Motion 
